Exact expressions for the renormalization constants in the MS-like schemes
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912235929993216 |
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| author | Stepanyantz, Konstantin |
| author_facet | Stepanyantz, Konstantin |
| contents | We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on the renormalization group. These expressions are obtained for a version of the dimensional technique in which the dimensionful parameter $Λ$ differs from the renormalization scale $μ$. They encode the equations relating the coefficients at higher $\varepsilon$-poles, powers of $\ln Λ/μ$, and mixed terms of the structure $\varepsilon^{-q} \ln^p Λ/μ$ to the coefficients of the renormalization group functions (i.e. of the $β$-function and the anomalous dimension). The general results are verified by some multiloop calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12573 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact expressions for the renormalization constants in the MS-like schemes Stepanyantz, Konstantin High Energy Physics - Theory We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on the renormalization group. These expressions are obtained for a version of the dimensional technique in which the dimensionful parameter $Λ$ differs from the renormalization scale $μ$. They encode the equations relating the coefficients at higher $\varepsilon$-poles, powers of $\ln Λ/μ$, and mixed terms of the structure $\varepsilon^{-q} \ln^p Λ/μ$ to the coefficients of the renormalization group functions (i.e. of the $β$-function and the anomalous dimension). The general results are verified by some multiloop calculations. |
| title | Exact expressions for the renormalization constants in the MS-like schemes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.12573 |